To find the volume of the amount of gold, rearrange the formula algebraically:
D = m/V
Multiply both sides by V:
D(V) = m/V (V)
DV = m
Divide both sides by D to isolate V
DV/D = m/D
V = m/D (this is the formula needed for volume).
Next, substitute the given values for density and mass:
V = 96.5g/19.3g/cm^3
V = 5 cm^3
Therefore, the volume of an amount of gold that has a mass of 96.5 g is 5 cm^3.
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